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Finding the Third Proportional to 49,267 and 108,065

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Solution

The third proportional to 49,267 and 108,065 is: 237,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,267 : 108,065 = 108,065 : x
  2. Step 2: Convert to fraction form
    49,267/108,065 = 108,065/x
  3. Step 3: Cross multiply
    49,267x = 108,065 × 108,065
  4. Step 4: Simplify right side
    49,267x = 11,678,044,225
  5. Step 5: Solve for x
    x = 11,678,044,225/49,267
  6. Step 6: Final answer
    x = 237,035.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.